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1 - Fundamental Concepts

Published online by Cambridge University Press:  02 February 2023

Tian-Chyi Jim Yeh ,
Yanhui Dong  and
Shujun Ye
Tian-Chyi Jim Yeh
Affiliation:
University of Arizona
Yanhui Dong
Affiliation:
Chinese Academy of Sciences, Beijing
Shujun Ye
Affiliation:
Nanjing University, China
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Summary

This chapter first reviews the linear first-order non-homogeneous ordinary differential equation. Introduction to statistics and stochastic processes follows. Afterward, it explains the stochastic fluid continuum concept, associated control volume, and spatial- and ensemble-representative control volume concepts. It then uses the well-known solute concentration definition as an example to elucidate the volume- and spatial-, ensemble-average, and ergodicity concepts. This chapter is to provide basic mathematics and statistics knowledge necessary to comprehend the themes of this book. Besides, this chapter’s home works demonstrate the power of the widely available Microsoft Excel for scientific investigations.

Keywords

stochasticautocorrelationcontrol volumespatial and ensemble REVspatial and ensemble averageergordicity
Type
Chapter
Information
An Introduction to Solute Transport in Heterogeneous Geologic Media , pp. 1 - 32
Publisher: Cambridge University Press
Print publication year: 2023

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  • Fundamental Concepts
  • Tian-Chyi Jim Yeh, University of Arizona, Yanhui Dong, Chinese Academy of Sciences, Beijing, Shujun Ye, Nanjing University, China
  • Book: An Introduction to Solute Transport in Heterogeneous Geologic Media
  • Online publication: 02 February 2023
  • Chapter DOI: https://doi.org/10.1017/9781009049511.002
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  • Fundamental Concepts
  • Tian-Chyi Jim Yeh, University of Arizona, Yanhui Dong, Chinese Academy of Sciences, Beijing, Shujun Ye, Nanjing University, China
  • Book: An Introduction to Solute Transport in Heterogeneous Geologic Media
  • Online publication: 02 February 2023
  • Chapter DOI: https://doi.org/10.1017/9781009049511.002
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Fundamental Concepts
  • Tian-Chyi Jim Yeh, University of Arizona, Yanhui Dong, Chinese Academy of Sciences, Beijing, Shujun Ye, Nanjing University, China
  • Book: An Introduction to Solute Transport in Heterogeneous Geologic Media
  • Online publication: 02 February 2023
  • Chapter DOI: https://doi.org/10.1017/9781009049511.002
Available formats
×